Determine a polynomial function f(x) (in standard form) with a degree of at least 4 that is divisible by both (x – 3) and (x + 5). Show all work to demonstrate how you determined this. Once in standard form, determine when f(x) > 0 algebraically.

Q: 1. Determine the number of degree and the end behaviours of the polynomial y = (x + 5)(x − 1)(x +…

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Q: Determine an equation in fortored form for a polynomial function with zeros x=-3 (order 2) and x = 2…

A: We have to determine an equation in factored form for a polynomial function with zeros: x=-3 order 2…

Q: Write a polynomial f (x) that satisfies the given conditions. Degree 3 polynomial with integer…

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Q: A polynomial function is written in ________ form when its terms are written in descending order of…

A: Polynomial Function: A polynomial function is defined as an equation/expression consisting of…

Q: Three of the zeros of a fourth-degree polynomial function f are -3, 4, and -5i. What is the other…

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Q: 10. Write a 3rd degree polynomial function with zeros: -4, 6i

A: Given: Zeroes of a polynomial which are -4, and 6i. The complex roots always lie in pairs, if one…

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: Let Px be the polynomial with zeros -1 and 5 and goes to -∞ as x→-∞ So we have to find px

Q: Write a polynomial f(x) that meets the given conditions. Polynomial of lowest degree with zeros of…

A: x=-1 is a zero so (x+1) is a factor. It has multiplicity = 2 , so (x+1)^2 is a factor of the…

Q: Find a polynomial function f of degree 4 whose coefficients are real numbers that has the zeros…

A: Given: Zeros of polynomials are 1,1,and -4+i.

Q: Sketch the graph of a 4th degree polynomial function f(x) such that f(-3)=0, f(-1)=0,f(1)=0,and f(x)…

A: Topic = polynomial

Q: Find a polynomial function of degree 3 with real coefficients that has the given zeros. - 1, 2,-3…

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Q: construct a polynomial function f with the given characteristics.     Zeros: - 4, - 1, 2; degree 3;…

A: zeroes of the polynomial are -4,-1,2 which means (x+4)(x+1)(x-2)are the factors of required…

Q: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as…

A: (2-i) is a complex number. So its conjugate (2+i) will be a zero too of the polynomial.  sqrt(3) is…

Q: Find a polynomial f (x) with leading coefficient 1 and having the given degree and zeros.

A: Find a polynomial f (x) with leading coefficient 1 and having the given degree and zeros.  Degree -…

Q: P(x) = (2x – 1)(x + 1)(x + 3) %3D

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Q: Write a polynomial f (x) that satisfies the given conditions. Express the polynomial with the lowest…

A: Our Aim is to write the polynomial of lowest degree with lowest possibleinteger coefficients and…

Q: Find a polynomial function of degree 3 with the given numbers as zeros. Assume that the leading…

A: Here we find the polynomial function of degree 3 with the given number of zeros are -2,3i,-3i .…

Q: Sketch the graph of the function by (a) applying the Leading Coefficient Test, (b) finding the real…

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Q: 12.) Degree 2 polynomial with zeros 2-3i and 2 + 3i.

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Q: 9. For the function: f(x) = 2x4 + 11x³ + 14x²-9x-18. a) Use your calculator to sketch the graph of…

A: f(x)=2x4+11x3+14x2-9x-18

Q: write a polynomial function of minimum degree in standard form with real coefficients whose zeros…

A: For any polynomial having roots (a,bc,d) We can write polynomial as (x-a)(x-b)(x-c)(x-d)

Q: Find a polynomial f (x) with leading coefficient 1 and having the given degree and zeros.

A: The polynomial having leading coefficient 1 and degree 4 is starts from x4. The roots or zeros…

Q: Write a polynomial function with minimum degree andleading coefficient 1 that has zeros x =…

A: If  zero is a and its multiplicity is m, we can write it as (x-a)m

Q: Find a polynomial function of degree 5 with -2 as a zero of multiplicity 3, 0 as a zero of…

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Q: P(x) = -(x – 3)²(x + 1)²

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Q: 6. For the polynomial function shown on the right a) determine the end behavior

A: End behavior of the graph We look at the direction of the graph when x goes to - infinity and +…

Q: Find a polynomial function with leading coefficient 1 that has the given zeros, multiplicities, and…

A: Consider the provided information, Zero :2, multiplicity :1Zero :1, multiplicity :3 Degree 4. Find…

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

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Q: write a polynomial f(x) that satisfies the given conditions.   polynomial of lowest degree with…

A: For 3/5 with multiplicity 2, (x-3/5)2 For -3/4 with multiplicity 1 (x+3/4)1   Polynomial f(x) =…

Q: Write a polynomial f(x) of degree 3 that has the zeros 2" * V6, and - V6.

A: fx is a polynomial of degree 3 that has zeros 12, 6 and -6. The factors are 2x-1,  x-6  &  x+6.

Q: Write a polynomial f (x) that satisfies the given conditions. Polynomial of lowest degree with zeros…

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Q: nat is a polynomial function in standard form with zeroes 1, 2, -3, and –1? Og(x) =x* + x³ – 7x-x+ 6…

A: We have to find polynomial by given zeros.

Q: Find a polynomial function of degree 3 with the given numbers as zeros Assume that the leading…

A: Given ,degree of polynomial 3leading coefficient vs 1Zero's of functions-16,0,5

Q: Use the Intermediate Value Theorem to show that the polynomial function f(x) = x3 + 2x − 1 has a…

A: f(x)=x3+2x-1, [0,1]

Q: Find bounds on the real zeros of the polynomial function. f(x) = 13x* + 13x -x² - 52x - 52 The lower…

A: We have given a function and find to lower and uper bound.

Q: The zeros of quartic polynomial function are 2, 7. -2. 4, and -4. Use the zeros to construct a…

A: Given that: Zeroes of a quartic polynomial function are:  2, -2, 4, -4

Q: polynomial function with real coefficients whose zeros are as shown in the image and a solution…

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Q: The graph of polynomial function f(x)=a(x+1)^2(x−2) passes through point (0,2). Find the value of…

A: The graph of polynomial function f(x)=a(x+1)2(x−2)passes through point(0,2)

Q: polynomial

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Q: 8. Find a fourth degree polynomial function with zeros 4,-2, 51, and -3i.

A: Que  Ans:     P(x) is 4 degree polynomial          with   roots 4, - 2 , 3i,  - 3i Implies that…

Q: Degree 3 polynomial with zeros 3 and -4i

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Q: Write a polynomial f(x) in completely factored​ form, with leading coefficient​ 1, that satisfies…

A: we have to write a polynomial f(x) in completely factored​ form, given that , a leading coefficient…

Q: Write a polynomial f (x) that satisfies the given conditions. Polynomial of lowest degree with zeros…

A: Write the polynomial in factor form using given zeros and satisfy the given point to find out the…

Q: Find a polynomial f(x) of degree 4 that has the following zeros. 0, 6, 4, -3 Leave your answer in…

A: For this problem, first we need to write in factored form.

Q: Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2)=18

A: zeros are  -3,-1, and 4.So factors are (x+3), (x+1) and (x-4). [when x=k is a zero then (x-k) is a…

Q: Find a polynomial fuction f(x) of degree 3 with real coefficients that satisfies the given…

A: Using the factor theorem: If x = a is a zero of a polynomial P(x), then (x-a) is a factor of the…

Q: onstruct a polynomial function with the following properties: fifth degree, 4 is a zero of…

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Q: Find a polynomial of degree 3 with real coefficients and zeros of −​3,−​1, and​ 4, for which…

A: Given data:     The first zero of the polynomial is: x1=-3. The second zero of the polynomial is:…

Q: Write a polynomial f (x) that satisfies the given conditions. Polynomial of lowest degree with zeros…

A: Any polynomial function, f(x) that has roots, , can be expressed as   Here, are the multiplicities…

Q: polynomial

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